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Finding the Third Proportional to 94,362 and 137,651

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Solution

The third proportional to 94,362 and 137,651 is: 200,799.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,362 : 137,651 = 137,651 : x
  2. Step 2: Convert to fraction form
    94,362/137,651 = 137,651/x
  3. Step 3: Cross multiply
    94,362x = 137,651 × 137,651
  4. Step 4: Simplify right side
    94,362x = 18,947,797,801
  5. Step 5: Solve for x
    x = 18,947,797,801/94,362
  6. Step 6: Final answer
    x = 200,799.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.